312204847680 has 672 divisors, whose sum is σ = 1245405777408. Its totient is φ = 70945996800.

The previous prime is 312204847639. The next prime is 312204847711. The reversal of 312204847680 is 86748402213.

It is a happy number.

312204847680 is a `hidden beast` number, since 3 + 1 + 2 + 20 + 484 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151334329 + ... + 151336391.

Almost surely, 2^312204847680 is an apocalyptic number.

312204847680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312204847680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702888704).

312204847680 is an abundant number, since it is smaller than the sum of its proper divisors (933200929728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312204847680 is a wasteful number, since it uses less digits than its factorization.

312204847680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 312204847680 in words is "three hundred twelve billion, two hundred four million, eight hundred forty-seven thousand, six hundred eighty".